What is the kinetic energy lost…

Physics Questions

What is the kinetic energy lost by Lucy and her bike when their speed decreases from 4.5 m/s to 3.5 m/s?

Short Answer

Kinetic energy, calculated using the formula K = 0.5 * m * v¬≤, quantifies an object’s energy in motion. In a specific example, the initial kinetic energy at 4.5 m/s was 1215 J and final kinetic energy at 3.5 m/s was 725 J, resulting in a kinetic energy loss of 480 J.

Step-by-Step Solution

Step 1: Understanding Kinetic Energy

The concept of kinetic energy is essential in physics, as it quantifies the energy of an object in motion. The formula for calculating kinetic energy is represented as:

  • K = 0.5 * m * v¬≤

Where K is kinetic energy, m is mass, and v is the velocity of the object.

Step 2: Calculating Initial and Final Kinetic Energy

To determine the amount of energy lost during an event, we need to calculate both the initial and final kinetic energy using the given parameters. For our example:

  • Initial Kinetic Energy (v = 4.5 m/s): K = 0.5 * 120 * (4.5)¬≤ = 1215 J
  • Final Kinetic Energy (v = 3.5 m/s): K = 0.5 * 120 * (3.5)¬≤ = 725 J

Step 3: Determining Kinetic Energy Lost

Once we have both kinetic energy values, we can find the energy lost during the process by subtracting the final kinetic energy from the initial kinetic energy:

  • Energy Lost (KL) = Initial Kinetic Energy – Final Kinetic Energy
  • KL = 1215 J – 725 J = 480 J

This results in a kinetic energy loss of 480 J.

Related Concepts

Kinetic energy

The energy possessed by an object due to its motion, calculated using the formula k = 0.5 * m * v²

Initial kinetic energy

The kinetic energy of an object at the beginning of an event or process before any changes occur to its velocity

Final kinetic energy

The kinetic energy of an object after an event or process has occurred, reflecting the new velocity of the object.

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